Question
A 7-foot by 3-foot doorway is to be cut into the trapezoid shaped wall shown. What is the area of the wall, without the doorway? (Unit = square ft.)
- 476
- 560
- 390
- 439
The correct answer is: 439
439 sq ft
We know that area of trapezoid = ½ x (sum of parallel sides) x distance between them.
=> area = ½ x(18 + 22) x 23 = 460 sq ft.
Area of doorway = area of a rectangle.
=> area = 3 x 7 = 21 sq ft.
Area of wall without the doorway = 460 – 21 = 439 sq ft.
Related Questions to study
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From the given figure, we can observe that the plane cuts the prism making an angle of 0 degrees with the base of the prism. Thus, we’ll get a cross section which will be similar to the base of the prism, i.e., a triangle.
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From the given figure, we can observe that the plane cuts the prism making an angle of 0 degrees with the base of the prism. Thus, we’ll get a cross section which will be similar to the base of the prism, i.e., a triangle.
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The plane cuts the cone at an angle which is not parallel to the base of the cone, this is the reason why we are getting an oval. If the plane did cut the cone making 0 degrees with the base of the cone, then we would have got a circle.
Find the number of faces the following prism has.
From the given figure, we can see that there are a total of 7 faces of the prism. 5 of them re at the sides ( 3 of which are visible from the front and 2 of which are visible from the back) and 2 of them are at the top and bottom respectively.
Find the number of faces the following prism has.
From the given figure, we can see that there are a total of 7 faces of the prism. 5 of them re at the sides ( 3 of which are visible from the front and 2 of which are visible from the back) and 2 of them are at the top and bottom respectively.
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The shape that would result from slicing a rectangular pyramid perpendicular to the base is _____________
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Know which shape denotes what.
The best name for this polyhedron is _____________.
Know which shape denotes what.
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Know a prism in detail.
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Know a prism in detail.
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Determine the number of edges the following polyhedron has.
Edge is a line segment joining 2 vertices of a figure.
Use Euler's Theorem, F + V = E + 2.
Solve for the missing part.
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Edges= ?
Know how to solve the linear equation.
Use Euler's Theorem, F + V = E + 2.
Solve for the missing part.
Faces= 8
Vertices= 12
Edges= ?
Know how to solve the linear equation.
